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What does mutually exclusive mean?

Looking for the meaning or definition of the word mutually exclusive? Here's what it means.

Adjective
  1. Describing multiple events or states of being such that the occurrence of any one implies the non-occurrence of all the others.
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Examples
The two alternatives, presented as dichotomous above, may be viewed as partly overlapping, and not mutually exclusive.
Dysania and depression are mutually exclusive in the sense that a person can suffer from both at the same time.
The response options were not mutually exclusive, so an individual rated each one on a scale ranging from never to very often.
Obviously, I just have a very particular, specific point of view, but I don't feel that ambition and accessibility are mutually exclusive.
He's a pillock, but being a pillock and being a good writer were never mutually exclusive.
In the past 25 years, traditional modes of exposition have continued to exist alongside sometimes mutually exclusive competing theories.

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